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5032010000 = 24541373673
BaseRepresentation
bin1001010111110111…
…00110000100010000
3110222200121121000202
410223323212010100
540301143310000
62151153234332
7235461244043
oct45373460420
913880547022
105032010000
112152490656
12b852629a8
13622688714
1435a434c5a
151e6b7add5
hex12bee6110

5032010000 has 100 divisors (see below), whose sum is σ = 12275267532. Its totient is φ = 1997568000.

The previous prime is 5032009963. The next prime is 5032010057. The reversal of 5032010000 is 102305.

It can be written as a sum of positive squares in 10 ways, for example, as 4643604736 + 388405264 = 68144^2 + 19708^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×50320100002 = 50642249280200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1368164 + ... + 1371836.

Almost surely, 25032010000 is an apocalyptic number.

5032010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5032010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137633766).

5032010000 is an abundant number, since it is smaller than the sum of its proper divisors (7243257532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5032010000 is a wasteful number, since it uses less digits than its factorization.

5032010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 5032010000 is about 70936.6618893221. The cubic root of 5032010000 is about 1713.6172757703.

Adding to 5032010000 its reverse (102305), we get a palindrome (5032112305).

The spelling of 5032010000 in words is "five billion, thirty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 625 685 1000 1096 1250 1370 2000 2192 2500 2740 3425 3673 5000 5480 6850 7346 10000 10960 13700 14692 17125 18365 27400 29384 34250 36730 54800 58768 68500 73460 85625 91825 137000 146920 171250 183650 274000 293840 342500 367300 459125 503201 685000 734600 918250 1006402 1370000 1469200 1836500 2012804 2295625 2516005 3673000 4025608 4591250 5032010 7346000 8051216 9182500 10064020 12580025 18365000 20128040 25160050 36730000 40256080 50320100 62900125 100640200 125800250 201280400 251600500 314500625 503201000 629001250 1006402000 1258002500 2516005000 5032010000